Compact complex manifolds with numerically effective cotangent bundles.
Kratz, Henrik (1997)
Documenta Mathematica
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Kratz, Henrik (1997)
Documenta Mathematica
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Manea, Adelina (2007)
Balkan Journal of Geometry and its Applications (BJGA)
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Thomas. Peternell, Michal Szurek (1992)
Mathematische Annalen
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Bun Wong (1984)
Mathematische Zeitschrift
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Peter Löffler, Larry Smith (1974)
Mathematische Zeitschrift
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Włodzimierz M. Mikulski (1993)
Mathematica Bohemica
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Let and be two natural bundles over -manifolds. We prove that if is of type (I) and is of type (II), then any natural differential operator of into is of order 0. We give examples of natural bundles of type (I) or of type (II). As an application of the main theorem we determine all natural differential operators between some natural bundles.
Kyung Whan Kwun (1984)
Colloquium Mathematicae
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Korbaš, Július, Zvengrowski, Peter
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This paper has two parts. Part one is mainly intended as a general introduction to the problem of sectioning vector bundles (in particular tangent bundles of smooth manifolds) by everywhere linearly independent sections, giving a survey of some ideas, methods and results.Part two then records some recent progress in sectioning tangent bundles of several families of specific manifolds.
Adgam Yakhievich Sultanov (2016)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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The descriptions of Weil bundles, lifts of functions and vector fields are given. Actions of the automorphisms group of the Whitney sum of algebras of dual numbers on a Weil bundle of the first order are defined.
Georges Elencwajg, O. Forster (1982)
Annales de l'institut Fourier
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We study holomorphic vector bundles on non-algebraic compact manifolds, especially on tori. We exhibit phenomena which cannot occur in the algebraic case, e.g. the existence of 2-bundles that cannot be obtained as extensions of a sheaf of ideals by a line bundle. We prove some general theorems in deformations theory of bundles, which is our main tool.
Wojciech Kucharz (2009)
Annales Polonici Mathematici
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We show some advantages of splitting vector bundles by blowups.